Which products result in a perfect square trinomial? Check all that apply. A=(–x + 9)(–x – 9) B=(xy + x)(xy + x) C=(2x – 3)(–3 + 2x) D=(16 – x2)(x2 – 16) E=(4y2 + 25)(25 + 4y2)

QUESTION POSTED AT 18/01/2020 - 07:11 AM

Answered by admin AT 18/01/2020 - 07:11 AM

The correct answers are:

B=(xy + x)(xy + x) ; C=(2x – 3)(–3 + 2x) ; and E=(4y² + 25)(25 + 4y²)

Explanation:

In order to have a perfect square trinomial, we must multiply two binomials that are exactly the same.  For (xy+x)(xy+x), are multiplying two identical binomials.

For (2x-3)(-3+2x), we are multiplying two binomials that are the same but written in a different order.  The same is true of (4y² + 25)(25 + 4y²).

Post your answer

Related questions

If f(x)=(3x=7)^2, then f(1)=?

F(x + 1) = 3(x + 1) + 4 = 3x + 7
Hopefully this helps

ANSWERED AT 24/02/2020 - 12:36 AM


QUESTION POSTED AT 24/02/2020 - 12:36 AM

What is the measure of angle x? Enter your answer in the box.

41.5 degrees

There are 180 degrees in a semicircle. So if if 56 and 41 degrees are taken, that means that 83 degrees are left. One the angle is on one side of 'x' is the same as the other side. So that means that the 83 degrees that are left are split evenly in two. Therefore 'x' is 41.5 degrees. The equation would look like the following.

180-((angle)+(if other angles)= Left over degrees

Your specific equation looks like the following.

180-   97    = 83    83/2=41.5
       [56+41]

ANSWERED AT 24/02/2020 - 12:36 AM


QUESTION POSTED AT 24/02/2020 - 12:36 AM

25 students are to be divided into teams of equal size how many different ways can the students be divided

It can be divide into 5 teams with 5 members each

ANSWERED AT 24/02/2020 - 12:36 AM


QUESTION POSTED AT 24/02/2020 - 12:36 AM

Solve the following system of equations by the substitution method. 5x = y + 6 2x - 3y = 4 What is the value of the y-coordinate? -8/13 13/14 14/13

5x = y + 6 (I)
2x - 3y = 4 (II)
-------------------
We have:
5x = y + 6 → x =  \frac{y+6}{5}

Soon:
2x - 3y = 4 → 2* (\frac{y+6}{5}) - 3y = 4\to \frac{2y+12}{5} - 3y = 4
least common multiple (5)
\frac{2y+12}{5} - 3y = 4\to \frac{2y+12}{\diagup\!\!\!\!\!5} - \frac{15y}{\diagup\!\!\!\!\!5} = \frac{20}{\diagup\!\!\!\!\!5}
2y + 12 - 15y = 20
- 15y + 2y = 20 - 12
- 13y = 8
\boxed{\boxed{y = - \frac{8}{13} }}\end{array}}\qquad\quad\checkmark


ANSWERED AT 24/02/2020 - 12:34 AM


QUESTION POSTED AT 24/02/2020 - 12:34 AM

An electrician charges a flat fee plus an hourly rate for a service call. She charges a total of $94 for a 3-hour service call on Monday and $130 for a 5-hour service call on Tuesday. How much should she charge for a 2-hour service call? $36 $52 $76 $98

Answer: Third option is correct.

Step-by-step explanation:

Since we have given that

Charges for a 3 hour service call on Monday = $94

Charges for a 5 hour service call on Tuesday = $130

So, our coordinates will be (3,94) and (5,130)

As we know the "Two point form":

y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\y-94=\frac{130-94}{5-3}(x-3)\\\\y-94=\frac{36}{2}(x-3)\\\\y-94=18(x-3)\\\\y-94=18x-54\\\\y-18x=-54+94\\\\y-18x=40

Now, we need the charges for 2 hour service call.

Let x = 2 hours

We get that

y-18x=40\\\\y-18\times 2=40\\\\y-36=40\\\\y=40+36\\\\y=76

Charges for 2 hour service = $76.

Hence, Third option is correct.

ANSWERED AT 24/02/2020 - 12:34 AM


QUESTION POSTED AT 24/02/2020 - 12:34 AM

A slice is made parallel to the base of a square pyramid. What is the shape of the resulting two-dimensional cross-section?

Answer:

You get a square, I just took the test and got it right.

Step-by-step explanation:

with a square pyramid the base would be square so by cutting parallel of the shape you basically are left with the shape of the base.

ANSWERED AT 24/02/2020 - 12:33 AM


QUESTION POSTED AT 24/02/2020 - 12:33 AM

What is the answer to 2x-2=-5

Using the Transformation formula.

2x - 2 = -5

Add 2 to both sides.

2x - 2 + 2 = -5 + 2 

2x = -3 

Divide both sides by 2

 \frac{2x}{2} =  \frac{-3}{2}

x =  \frac{-3}{2}

ANSWERED AT 24/02/2020 - 12:32 AM


QUESTION POSTED AT 24/02/2020 - 12:32 AM

What is the slope of the line that contains the points (-1,9) (5,21)

21-9 over 5-(-1)
12/6
slope=2

ANSWERED AT 24/02/2020 - 12:31 AM


QUESTION POSTED AT 24/02/2020 - 12:31 AM

3(4x-5)=45 show working 4^3x2^3=

3(4x - 5) = 45
first use the distributive property to clear the parenthesis
3*4x + 3*-5 = 45
12x - 15 = 45
add 15 to both sides
12x - 15 + 15 = 45 + 15
12x = 60
to clear the multiplication by 12, divide by sides by 12
12x/12 = 60/12
x = 5

4^3 * (x^2)^3
64 x^6

ANSWERED AT 24/02/2020 - 12:27 AM


QUESTION POSTED AT 24/02/2020 - 12:27 AM

1/2(4x-9)=2x+8 A. exactly one real solution, B. no real solutions C. infinite real solutions D. exactly one real solution,

Let us first try and solve this equation to see how many solutions are for this equation.

We need to have x on one side of the equation and everything on the opposite side of x.

1/2(4x - 9) = 2x + 8 ; Start
2x - 4.5 = 2x + 8     ; Distribute the 1/2 across 4x and -9
2x = 2x + 12.5        ; Add 4.5 to each side of the equation
0 = 12.5                  ; Subtract 2x from each side of the equation

As we can clearly see, this equation has 0 answers.

ANSWERED AT 24/02/2020 - 12:26 AM


QUESTION POSTED AT 24/02/2020 - 12:26 AM

How do you find slope in a X and Y table?

You should find the rate of change of the table or you should just put the coordinates in a grid.

ANSWERED AT 24/02/2020 - 12:25 AM


QUESTION POSTED AT 24/02/2020 - 12:25 AM

6k - 9 = 5k - 7 please help

k=2
hope that helps!!

ANSWERED AT 24/02/2020 - 12:24 AM


QUESTION POSTED AT 24/02/2020 - 12:24 AM

If k is a constant, determine and state the value of kids such that the polynomial k^2x^3-6kx+9 divisible by x-1

By the polynomial remainder theorem, k^2x^3-6kx+9 will be divisible by x-1 if the value of the polynomial at x=1 is 0.

k^2(1)^3-6k(1)+9=k^2-6k+9=(k-3)^2=0

which occurs for k=3.

ANSWERED AT 24/02/2020 - 12:23 AM


QUESTION POSTED AT 24/02/2020 - 12:23 AM

How many of the numbers from 10 through 92 have the sum of their digits equal to a perfect​ square?

All the numbers in this range can be written as 10d_1+d_0 with d_1\in\{1,2,\ldots,9\} and d_2\in\{0,1,\ldots,9\}. Construct a table like so (see attached; apparently the environment for constructing tables isn't supported on this site...)

so that each entry in the table corresponds to the sum of the tens digit (row) and the ones digit (column). Now, you want to find the numbers whose digits add to perfect squares, which occurs when the sum of the digits is either of 1, 4, 9, or 16. You'll notice that this happens along some diagonals.

For each number that occupies an entire diagonal in the table, it's easy to see that that number n shows up n times in the table, so there is one instance of 1, four of 4, and nine of 9. Meanwhile, 16 shows up only twice due to the constraints of the table.

So there are 16 instances of two digit numbers between 10 and 92 whose digits add to perfect squares.

ANSWERED AT 24/02/2020 - 12:22 AM


QUESTION POSTED AT 24/02/2020 - 12:22 AM

Suppose x and y vary inversely and y=10 when x=4. write a function that models the variation then find y when x =90

X = k/y
4 = k/10
k = 4 x 10 = 40
Thus, x = 40 / y

90 = 40 / y
y = 40/90 = 4/9

ANSWERED AT 24/02/2020 - 12:18 AM


QUESTION POSTED AT 24/02/2020 - 12:18 AM

(8^4)5 (7^3)9. explain your answer plz

(8^4)5 (7^3)9
4,096(5) 343(9)
20,480 x 3,087
63,221,760

I think this is the Answer...

ANSWERED AT 24/02/2020 - 12:15 AM


QUESTION POSTED AT 24/02/2020 - 12:15 AM

How many three digit positive integers are there such that three digits are 3, 4, and 8? A. 3 B. 6 C. 9 D. 15 E. 96

Solving:
*Simple Permutation

3! = 3*2 = 6 

Answer: B. 6

6 Combinations of three numbers (348, 384, 483, 438, 834, 843)







ANSWERED AT 24/02/2020 - 12:13 AM


QUESTION POSTED AT 24/02/2020 - 12:13 AM

Hank is building a dog run for his dog. He wants the ratio of the length to the width of the dog run to be 5 : 2. If he builds the dog run so the length is 10.5 feet, which equation can be used to solve for the width, x? What is the value of x?

Answer:

The equation is \\ \frac{5}{2} : \frac{10.5ft}{x}; The value of x is 4.2ft.

Step-by-step explanation:

A ratio is like a constant that remains between two values, and we can use it to find whatever others that keep the same constant relation between them.

Hank wants a dog run that keeps a constant relation between length to the width. That is, the length must be 2.5 times to the width ( \\ \frac{5}{2} = 2.5 ).

So, knowing that ratio or constant, we can represent it as follows:

\\ \frac{lenght}{width} : \frac{5}{2} \\ [ 1 ]

But, it also could be expressed as the relation between the width to the length:

\\ \frac{width}{length}:\frac{2}{5} [ 2 ]

He wants a lenght of 10.5ft for building a dog run for his dog, and that this new value must keep the ratio just explained [ 1 ] to the width expected.

So, the equation is:

\\ \frac{5}{2} : \frac{10.5ft}{x}

And we have to find the value for x that solve this equation.

However, we can use an easier way to represent this using the equation [ 2 ] for solving x :

\\ \frac{w}{l} :\frac{2}{5} : \frac{x}{10.5ft} \\\\ x = \frac{2 * 10.5ft}{5}=4.2ft\\

That is, the width must be 4.2ft to keep the ratio length to the width 5:2 ( or the ratio width to the length 2:5).

To check this answer:

\\ \frac{length}{width} : \frac{5}{2} =2.5

\\ \frac{length}{width} = \frac{10.5ft}{4.2ft} = 2.5.

\\ \frac{width}{length} : \frac{2}{5} = 0.4\\

\\ \frac{width}{length} = \frac{4.2ft}{10.5ft} = 0.4.

ANSWERED AT 24/02/2020 - 12:12 AM


QUESTION POSTED AT 24/02/2020 - 12:12 AM

Use the relationship between the angles in the figure to answer the question. Which equation can be used to find the value of x? Drag and drop the equation into the box.

Answer:

1. 52° + x° + 67° = 180°

2.  x° + 22° = 90°

Step-by-step explanation:

1. In the first figure,

Since the angles given are supplementary angles i.e. their sum is 180°

So, we get,

52° + x° + 67° = 180°

i.e. x° = 180° - 119°

i.e. x° = 61°

Thus, the expression to find the value of x is 52° + x° + 67° = 180°.

2. In the second figure,

Since the angles given are complementary angles i.e. their sum is 90°

This gives us,

x° + 22° = 90°

i.e. x° = 90° - 22°

i.e. x° = 68°

Hence, the expression to find the value of x is x° + 22° = 90°

ANSWERED AT 24/02/2020 - 12:11 AM


QUESTION POSTED AT 24/02/2020 - 12:11 AM

Given that MATH is a parallelogram, solve for x. A. 64 B. 74 C. 84 D. 94

Answer:

D is the answer

Step-by-step explanation:

86+86=175

360-175=188

188/2

94

all rhombus's equal 360*

No need to solve for (b-10) since 86* is parallel and congruent

Just add both sides subtract by 360 and divide answer by 2 and you have the degrees for both X and C

ANSWERED AT 24/02/2020 - 12:10 AM


QUESTION POSTED AT 24/02/2020 - 12:10 AM

Suppose that Algeria has a workforce of 9,416,534, each of whom earns an average annual salary of (equivalent US dollars) $6,844. If the Algerian government wishes to raise $9 billion in tax revenue, approximately where should it set the income tax rate? a. 9% b. 14% c. 18% d. 26%

Answer: b . 14 %  

Step-by-step explanation:

Since, the population of Algeria = 9,416,534

If the average annual salary of an Algerian = $6,844

Then the total earning of the people of Algeria = 9,416,534 × 6,844 = 6.4446758696\times 10^{10}  dollars

Let the percentage of income tax = x %

⇒ The total income tax raised by the government = x % of 6.4446758696\times 10^{10}  

= \frac{x}{100}\times 6.4446758696\times 10^{10}

= \frac{x}{10^2}\times 6.4446758696\times 10^{10}

= 6.4446758696x \times 10^8

According to the question,

6.4446758696x \times 10^8=9000000000

\implies x=\frac{9000000000}{6.4446758696}

\implies x = 13.9650157465\% \approx 14\%

Option b is correct.

ANSWERED AT 24/02/2020 - 12:09 AM


QUESTION POSTED AT 24/02/2020 - 12:09 AM

The verticals of a right triangle are (0, -6), (6, -3), and (x, -6). Find the value of x.

(0,-6), (6, -3), and (6,-6)

If you plot them on a graph there are only two point options (in green and purple) since it's a right triangle but you have to use the one that has -6 as the y value

ANSWERED AT 24/02/2020 - 12:09 AM


QUESTION POSTED AT 24/02/2020 - 12:09 AM